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131115201201450 = 232521795872772997
BaseRepresentation
bin11101110011111110100010…
…111111100000010100101010
3122012020111020210211002200200
4131303332202333200110222
5114141142413001421300
61142505254130013030
736421521625415544
oct3563764277402452
9565214223732620
10131115201201450
113886070aa03924
1212857007717176
1358211587945cb
14245401c4a2694
151025919854200
hex773fa2fe052a

131115201201450 has 144 divisors (see below), whose sum is σ = 354834376958880. Its totient is φ = 34709480012160.

The previous prime is 131115201201449. The next prime is 131115201201521. The reversal of 131115201201450 is 54102102511131.

131115201201450 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 5 + 2 + 0 + 1 + 201 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45896352 + ... + 48669348.

It is an arithmetic number, because the mean of its divisors is an integer number (2464127617770).

Almost surely, 2131115201201450 is an apocalyptic number.

131115201201450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131115201201450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177417188479440).

131115201201450 is an abundant number, since it is smaller than the sum of its proper divisors (223719175757430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131115201201450 is a wasteful number, since it uses less digits than its factorization.

131115201201450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773781 (or 2773773 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 131115201201450 its reverse (54102102511131), we get a palindrome (185217303712581).

The spelling of 131115201201450 in words is "one hundred thirty-one trillion, one hundred fifteen billion, two hundred one million, two hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 179 225 358 450 537 587 895 1074 1174 1611 1761 1790 2685 2935 3222 3522 4475 5283 5370 5870 8055 8805 8950 10566 13425 14675 16110 17610 26415 26850 29350 40275 44025 52830 80550 88050 105073 132075 210146 264150 315219 525365 630438 945657 1050730 1576095 1891314 2626825 2772997 3152190 4728285 5253650 5545994 7880475 8318991 9456570 13864985 15760950 16637982 23641425 24956973 27729970 41594955 47282850 49913946 69324925 83189910 124784865 138649850 207974775 249569730 415949550 496366463 623924325 992732926 1247848650 1489099389 1627749239 2481832315 2978198778 3255498478 4467298167 4883247717 4963664630 7445496945 8138746195 8934596334 9766495434 12409161575 14649743151 14890993890 16277492390 22336490835 24416238585 24818323150 29299486302 37227484725 40693730975 44672981670 48832477170 73248715755 74454969450 81387461950 111682454175 122081192925 146497431510 223364908350 244162385850 291367113781 366243578775 582734227562 732487157550 874101341343 1456835568905 1748202682686 2622304024029 2913671137810 4370506706715 5244608048058 7284177844525 8741013413430 13111520120145 14568355689050 21852533533575 26223040240290 43705067067150 65557600600725 131115201201450